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Titlebook: Computer Science -- Theory and Applications; 10th International C Lev D. Beklemishev,Daniil V. Musatov Conference proceedings 2015 Springer

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https://doi.org/10.1007/978-88-470-0513-6owing properties. There exists a constant . such that the degree of the .-th vertex is at least .(.) and at most ., and it is impossible to make all degrees equal to .(.) by removing the graph’s edges. Moreover, any proof of this statement in the resolution proof system has size .. This result impli
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On Growth and Fluctuation of ,-Abelian Complexity,ticular aspects of this extension: First, how much the complexity can increase when moving from a level . to the next one. Second, how much the complexity of a given word can fluctuate. For both questions we give optimal solutions.
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A Polynomial-Time Algorithm for Outerplanar Diameter Improvement,s diameter at most .. We provide a dynamic programming algorithm that solves this problem in polynomial time. . demonstrates several structural analogues to the celebrated and challenging . problem, where the resulting graph should, instead, be planar. The complexity status of this latter problem is open.
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Conference proceedings 2015015..The 25 full papers presented in this volume were carefully reviewed and selected from 61 submissions. In addition the book contains 4 invited lectures. The scope of the proposed topics is quite broad and covers a wide range of areas in theoretical computer science and its applications..
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https://doi.org/10.1007/978-3-319-20297-6Approximation algorithms; Computational complexity; Discrete mathematics; Formal grammars; Graph algorit
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978-3-319-20296-9Springer International Publishing Switzerland 2015
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Propositional Proofs in Frege and Extended Frege Systems (Abstract),We discuss recent results on the propositional proof complexity of Frege proof systems, including some recently discovered quasipolynomial size proofs for the pigeonhole principle and the Kneser-Lovász theorem. These are closely related to formalizability in bounded arithmetic.
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